Some of us kind of do it already with an addition of a sub-woofer. We also have enjoyed the time, expense and fun this can be to get it right.
As far as waste of time, you will never know yourself if this is BS or not.
Clarification.
1, You stated, "I'm USING two identical amps in a vertical bi-amp configuration." Sounds like you are already doing it. ??? Which stage of this are you?
2. You mentioned the Internal Crossover. You should Not have to touch the internal crossover. Are you thinking of Active Biamping? If so, Stop. You will be defeating all the reasons you chose those speakers. A Whole different very ugly animal.
I would suggest Bi Wiring first. You are going to need these cables anyway for your Biamp endeavors. If your speakers are not biwireable, you're full stop. Or you have to Make your speakers biwireable. Then buy and install another amp.